321213433101440 has 512 divisors, whose sum is σ = 874273471488000. Its totient is φ = 111779828858880.

The previous prime is 321213433101433. The next prime is 321213433101479. The reversal of 321213433101440 is 44101334312123.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 321213433101397 and 321213433101406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29273067794 + ... + 29273078766.

It is an arithmetic number, because the mean of its divisors is an integer number (1707565374000).

Almost surely, 2^{321213433101440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213433101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437136735744000).

321213433101440 is an abundant number, since it is smaller than the sum of its proper divisors (553060038386560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321213433101440 is a wasteful number, since it uses less digits than its factorization.

321213433101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12288 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 321213433101440 its reverse (44101334312123), we get a palindrome (365314767413563).

The spelling of 321213433101440 in words is "three hundred twenty-one trillion, two hundred thirteen billion, four hundred thirty-three million, one hundred one thousand, four hundred forty".